Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


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Murashkin E.V., Radayev Y.N. Wavenumbers of coupled plane thermoelastic wave in ultraisotropic medium // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 3(61). p. 128-139
Author(s):Murashkin E.V., Radayev Y.N.
Index of UDK:539.374
DOI:10.37972/chgpu.2024.61.3.009
Title:Wavenumbers of coupled plane thermoelastic wave in ultraisotropic medium
Keywords:micropolar thermoelasticity, ultraisotropic solid, translational displacement, spinor displacement, plane time-harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation, polarization vector.
Abstracts:. In present paper, the problems of propagation of plane harmonic coupled waves of temperature increment, translational and spinor displacements in an ultraisotropic micropolar thermoelastic solid are considered and their wavenumbers are calculated. The ultraisotropic model is treated as a doubly reduced version of a semi-isotropic solid. The orders of terms of partial differential equations of coupled micropolar thermoelasticity are analyzed with respect to a micro/nanolength scale. The characteristic equations for wavenumbers of plane harmonic coupled thermoelastic longitudinal (bicubic equation) and transverse (biquadratic equation) waves are found and analyzed. Algebraic expressions for the roots of the characteristic equations are obtained and normal wavenumbers with a positive real part are separated.
The contact details of authors:Evgenii V. Murashkin, Cand. Sci. Phys. & Math., MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; e-mail: evmurashkin@gmail.ru; https://orcid.org/0000-0002-3267-4742; AuthorID: 129570 Yuri N. Radayev, Dr. Sci. Phys. & Math., Prof., Leading Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; e-mail: radayev@ipmnet.ru; https://orcid.org/0000-0002-0866-2151; AuthorID: 103116
Pages:128-139
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